Answer:
amplitude = 3
period = 2π
phase shift = 0
vertical shift = 0
minimum value = -3
maximum value = 3
Step-by-step explanation:
A cosine wave can be generalized as y = A cos(2π/T θ + B) + C, where A is the amplitude, T is the period, B is the phase shift, and C is the vertical shift.
y = 3 cos θ
y = 3 cos (2π/2π θ + 0) + 0
Here, the amplitude is A = 3, the period is T = 2π, the phase shift is B = 0, and the vertical shift is C = 0.
The minimum value is C − A = -3. The maximum value is C + A = 3.
Graphing, the maximum is at (0, 3) and (2π, 3). The minimum is at (π, -3) and (3π, -3). The zeros are at (π/2, 0), (3π/2, 0), and (5π/2, 0).